Neutrino-C12 Scattering in the Ab Initio Shell Model with a Realistic Three-Body Interaction

A. C. Hayes, P. Navrátil, and J. P. Vary
Phys. Rev. Lett. 91, 012502 – Published 30 June 2003

Abstract

We investigate cross sections for neutrino-C12 exclusive scattering and for muon capture on C12 using wave functions obtained in the ab initio no-core shell model. In our parameter-free calculations with basis spaces up to the 6Ω we show that realistic nucleon-nucleon interactions, like, e.g., the CD-Bonn, underpredict the experimental cross sections by more than a factor of 2. By including a realistic three-body interaction, Tucson-Melbourne TM(99), the cross sections are enhanced significantly and a much better agreement with experiment is achieved. At the same time, the TM(99) interaction improves the calculated level ordering in C12. The comparison between the CD-Bonn and the three-body calculations provides strong confirmation for the need to include a realistic three-body interaction to account for the spin-orbit strength in p-shell nuclei.

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  • Received 27 March 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.012502

©2003 American Physical Society

Authors & Affiliations

A. C. Hayes1, P. Navrátil2, and J. P. Vary3

  • 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 2Lawrence Livermore National Laboratory, L-414, P.O. Box 808, Livermore, California 94551, USA
  • 3Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

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Issue

Vol. 91, Iss. 1 — 4 July 2003

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